Musical cells is a system of Mario Pizarro for constructing circulating temperaments. Recently he has connected this to a system of stretched octaves he calls "toctaves". This is discussed on The corrected progression of musical cells.

Toctave

Toctave (short for "True Octave") is a frequency ratio of 27 * 2^(1/4) / 16 (ca. 1205.865 cents) which Pizarro came up with in connection with his theory of musical cells.

$Toctave=\frac{27}{16}\sqrt[4]{2} \approx 2.0067870065670918\dots$

This is 1/4 of a Pythagorean comma sharp.

Threads/Folders on the tuning list:

• http://launch.groups.yahoo.com/group/tuning/message/100919 - "The True Octave"
• http://launch.groups.yahoo.com/group/tuning/message/101004 - "A new equal tempered scale?"
• http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/

see also

• Octave